Respuesta :
Answer:
[tex]-2\dfrac{3}{8}[/tex]
Step-by-step explanation:
Given the expression:
[tex]3\dfrac78 - 6\dfrac14[/tex]
We are to simplify and obtain an equivalent expression.
Step 1: Change to Improper Fractions
[tex]3\dfrac78 - 6\dfrac14=\dfrac{31}{8}-\dfrac{25}{4}[/tex]
Step 2: Take the Lowest Common multiple of the denominators
LCM of 8 and 4 is 8.
Therefore:
[tex]\dfrac{31}{8}-\dfrac{25}{4}=\dfrac{31-2(25)}{8}\\\\\dfrac{31-50)}{8}\\\\=-\dfrac{19}{8}\\\\=-2\dfrac{3}{8}[/tex]
Therefore, an equivalent expression to [tex]3\dfrac78 - 6\dfrac14[/tex] is [tex]-2\dfrac{3}{8}[/tex].
